In: Statistics and Probability
Consider two logistic regression models:
log(P(X)/(1-P(X)) = 0.1 + 0.2x1 + 0.3x2, and log(P(X)/(1-P(X)) = 0.1 - 0.2x1 - 0.3x2
Compute the corresponding likelihood of the data below. Which model is better?
x1 | 1.1 | 2.0 | 1.3 | 1.5 | 1.3 |
x2 | 2.0 | 1.2 | 1.2 | 1.4 | 2.1 |
Y | 0 | 1 | 0 | 1 | 1 |